|Universiteit Faculteit FNWI English version||10 januari 2005, e-mail|
Woensdag 19 januari 2005
AbstractIn 1900 at the ICM in Paris, David Hilbert presented a list of 23 problems which should form a challenge for the mathematicians of the new century. Some of these problems were easier than Hilbert expected, others were longstanding. One of these longstanding problems was the fourteenth on his list. This problem was finally solved in 1958 by M. Nagata, who constructed a highly non-trivial counterexample in dimension 32.
More recently, in 1999, D. Daigle and G. Freudenberg found a new counterexample in dimension 5.
The aim of my talk is to give a very simple, straightforward proof of their result. Also, I will give some background on the problem.
Students are also invited to attend!